Least Common Multiple of 268 and 275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 268 and 275 the smallest integer that is 73700 that is divisible by both numbers.

Least Common Multiple (LCM) of 268 and 275 is 73700.

LCM(268,275) = 73700

LCM of 268 and 275

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 268 and 275

LCM of 268 and 275 is 73700

Least common multiple can be found by multiplying the highest exponent prime factors of 268 and 275. First we will calculate the prime factors of 268 and 275.

Prime Factorization of 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

Prime Factorization of 275


5 275
5 55
11 11
1

Prime factors of 275 are 5,11. Prime factorization of 275 in exponential form is:

275 = 52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 268 and 275.

LCM(268,275) = 22×52×111×671
LCM(268,275) = 73700

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Least Common Multiple of 268 and 275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 268 and 275, than apply into the LCM equation.

GCF(268,275) = 1
LCM(268,275) = ( 268 × 275) / 1
LCM(268,275) = 73700 / 1
LCM(268,275) = 73700

Properties of LCM 268 and 275

(i) The LCM of 275 and 268 is associative

LCM of 268 and 275 = LCM of 275 and 268

Related Least Common Multiples of 268

Related Least Common Multiples of 275

Frequently Asked Questions on LCM of 268 and 275

1. What is the LCM of 268 and 275?

Answer: LCM of 268 and 275 is 73700.

2. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

3. What are the Factors of 275?

Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.

4. How to Find the LCM of 268 and 275?

Answer:

Least Common Multiple of 268 and 275 = 73700

Step 1: Find the prime factorization of 268

268 = 2 x 2 x 67

Step 2: Find the prime factorization of 275

275 = 5 x 5 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 73700 = 2 x 2 x 5 x 5 x 11 x 67

Step 4: Therefore, the least common multiple of 268 and 275 is 73700.